Poroelastic model for surface Love wave propagation

[+] Author and Article Information
Adil El Baroudi

Associate professor, LAMPA Engineering Laboratory, Arts & Métiers ParisTech, Angers, 49035 France

1Corresponding author.

ASME doi:10.1115/1.4039336 History: Received December 21, 2017; Revised February 09, 2018


This work presents a theoretical method for surface Love waves in poroelastic media loaded with a viscous fluid. A complex analytic form of the dispersion equation of surface Love waves has been developed using an original resolution based on pressure-displacement formulation. The obtained complex dispersion equation was separated in real and imaginary parts. Mathematica software was used to solve the resulting nonlinear system of equations. The effects of surface layer porosity and fluid viscosity on the wave attenuation and the phase velocity dispersion curves are inspected. The numerical solutions show that the wave attenuation and phase velocity variation strongly depend on the fluid viscosity, surface layer porosity and wave frequency. To validate the original theoretical resolution, the results in literature in the case of an homogeneous isotropic surface layer are used. The results of various investigations on Love wave propagation can serve as benchmark solutions in design of fluid viscosity sensors, in nondestructive testing and geophysics.

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